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Finding the Fourth Proportional to 271,882.64, 407,897.82 and 82,349.42

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Solution

The fourth proportional to 271,882.64, 407,897.82 and 82,349.42 is: 123,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,882.64 : 407,897.82 = 82,349.42 : x
  2. Step 2: Convert to fraction form
    271,882.64/407,897.82 = 82,349.42/x
  3. Step 3: Cross multiply
    271,882.64x = 407,897.82 × 82,349.42
  4. Step 4: Simplify right side
    271,882.64x = 33,590,149,916.01
  5. Step 5: Solve for x
    x = 33,590,149,916.01/271,882.64
  6. Step 6: Final answer
    x = 123,546.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.